Variational method for $\mathbb{Z}_K$ wavefunctions in spin-$J$ PXP model
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912190736367616 |
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| author | Hu, Zhigang Wu, Biao |
| author_facet | Hu, Zhigang Wu, Biao |
| contents | We investigate the approach of time-dependent variational principle (TDVP) for the one-dimensional spin-$J$ PXP model with detuning, which is relevant for programmable Rydberg atom arrays. The variational manifold is chosen as the minimally entangled $\mathbb{Z}_K$ matrix-product-states (MPS). We demonstrate that variational dynamics and variational error can be expressed as rapidly convergent series in the thermodynamic limit. In particular, for $J=1/2$ and the limiting case $J\rightarrow \infty$, the TDVP results become exact and significantly simplified. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09301 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Variational method for $\mathbb{Z}_K$ wavefunctions in spin-$J$ PXP model Hu, Zhigang Wu, Biao Quantum Physics Statistical Mechanics We investigate the approach of time-dependent variational principle (TDVP) for the one-dimensional spin-$J$ PXP model with detuning, which is relevant for programmable Rydberg atom arrays. The variational manifold is chosen as the minimally entangled $\mathbb{Z}_K$ matrix-product-states (MPS). We demonstrate that variational dynamics and variational error can be expressed as rapidly convergent series in the thermodynamic limit. In particular, for $J=1/2$ and the limiting case $J\rightarrow \infty$, the TDVP results become exact and significantly simplified. |
| title | Variational method for $\mathbb{Z}_K$ wavefunctions in spin-$J$ PXP model |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2501.09301 |